1360800000 has 648 divisors, whose sum is σ = 5812252992. Its totient is φ = 311040000.

The previous prime is 1360799989. The next prime is 1360800011. The reversal of 1360800000 is 80631.

It is an interprime number because it is at equal distance from previous prime (1360799989) and next prime (1360800011).

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194399997 + ... + 194400003.

Almost surely, 2^1360800000 is an apocalyptic number.

1360800000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1360800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906126496).

1360800000 is an abundant number, since it is smaller than the sum of its proper divisors (4451452992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1360800000 is an frugal number, since it uses more digits than its factorization.

1360800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1360800000 is about 36889.0227574546. The cubic root of 1360800000 is about 1108.1488502687.

Adding to 1360800000 its reverse (80631), we get a palindrome (1360880631).

The spelling of 1360800000 in words is "one billion, three hundred sixty million, eight hundred thousand".